Complex scientific applications made fault-tolerant with the sparse grid combination technique

Ultra-large scale simulations via solving Partial Differential Equations (PDEs) require very large computational systems for their timely solution. Studies shown the rate of failure grows with the system size and these trends are likely to worsen in future machines. Thus, as systems, and the problems solved on them, continue to grow, the ability to survive failures is becoming a critical aspect of algorithm development. The Sparse Grid Combination Technique (SGCT) which is a cost-effective method for solving higher dimensional PDEs can be easily modified to provide algorithm-based fault